129580 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 43200.

The previous prime is 129553. The next prime is 129581. The reversal of 129580 is 85921.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (129581) by changing a digit.

129580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165 + ... + 4195.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹²⁹⁵⁸⁰ is an apocalyptic number.

129580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

129580 is an abundant number, since it is smaller than the sum of its proper divisors (192980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129580 is a wasteful number, since it uses less digits than its factorization.

129580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 129580 is about 359.9722211505. The cubic root of 129580 is about 50.6033565969.

It can be divided in two parts, 12 and 9580, that multiplied together give a triangular number (114960 = T₄₇₉).

The spelling of 129580 in words is "one hundred twenty-nine thousand, five hundred eighty".